The time for one cycle of a periodic prk45zn p-v.ao+l,m ui hocess is called the

  For a periodic process, the number of ym kf:dd2ql4 i+sof4g 4u /l1zcycles per unit time is called the

  For vibrational motion, the maximum displacement from the equisz g(tdvj1 87ilibrium point is cvstj 71 dig8(zalled the

  A mass on a spring undergoes SHM. When the mass is at it,z:xp pg)x,nz h l/v4rs maximum displacement from equilibrium, itvxp:,,rh nz )plg/zx4 s instantaneous velocity

  A mass on a spring undergoes SHM. When the massfou0 f;on2fp 5 f7s9d-v u ho)dft2m8s passes through the equilibrium positionu s87p ;-nhuff0dfsm v2f9 fot d5oo)2, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maxim b hzhk-+l4y4gum displacement fromhz yh4lbg-4+k equilibrium, its instantaneous acceleration

  A mass is attached to a vertical spro wht/brt +py36qh) (hing and bobs up and down between points A and B. Where is the mass located when its kinetic ener3p/btr()h+wthh6oqy gy is a minimum?

  A mass is attached to a vertical spring and bobs up and g ;5eda:z- cp1i8: /wb,ra-xsjwgfjp down between points A and B. Where is the mass located when its kinetic energy-8j/zc, ;sxig: pja:w 5rgap- fbw e1d is a maximum?

  A mass is attached to a vertical spcr3: qd,efyjwcegr61(d*21 j jg2 ver ring and bobs up and down between points A and B. Where is the mass located whe1f(jjve2*6r,g e21r:gw ecdcdyqj3rn its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between px8gg+ ;jhxi3 voints A and B. Where is the mass located when its potenti hv3;ig+gx8jx al energy is a maximum?

  Doubling only the amplitude of a vibrating m 9b7i4+f xghus 9o5jhsf8en w)ass-and-spring system produces what effect on th7 g)4 wxnh8si+9 sfjf9b uhoe5e system's mechanical energy?

  Doubling only the massd29bg0g g2 s:eqil;odh oa 7r9 of a vibrating mass-and-spring system produces what effect on the system's 2d7:o hbsq90g ;2aiger9dg lo mechanical energy?

  Doubling only the spring const;;i*mom7 (hb -k4a f5xj abylpant of a vibrating mass-and-spring system produces what effect on the system's mechanbi ;kxj;yaf7ommp( h b5* 4la-ical energy?

  A mass oscillates on the end of ar t obp1x,smgo- +du)8 spring, both on Earth and on the Moon. Where is the period trs+1gdpouo-)8b ,m xthe greatest?

  Increasing the spring constant k of a mass-and-spring system causes whatsc6 2*k)rr9oztos,)t 3 obpy s kind of change in the resonant frequency of the system? (Assume no change in3*,ztt k9c)ospyrr62 ) osbso the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chanmk(k aabij58ddf(, k0ge in the resonant frequenca5,(kfdadk( 8 0mkijby of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude a0)ve sbv50yi of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the sysis) veb0 05yavtem.)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum consists of a mass M att -ticy kpyi:68ached to a weightless string of length L. For this system, when undergoing styp 8 -ci:yik6mall oscillations

  When the mass of a simple pendulum is tripled, the time requirey6 qy640hz jazixzx7 /xghm:)qwu.g 6d for one complete vibraxg47:x6q 6zzuj/qmw) yhg6 0i. xhz yation

  Both pendulum A and B are 3.0 m long. The period of A is T. Pend, tx3yb/qgt0:p8mdb oulum A is twice as heavy yg8xtqtd bm 0,:bop/ 3as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for on1wtz r0r+xktez:99vo e complete vibration increases byt:tz0 xwv9rerk 1+9 oz a factor of

  What happens to a simple pendulum's frequency if both itl h br+nh+fb0,: 4 hz9boufkd7s length and mass are inck b 9fhhru++nf bbd4z7:hl o0,reased?

  Simple pendulum A swings back and forth at twice the frequency of sim le2eo h/pt/ua)yvfxk1g4j ),ple pendulum B. Which statement ik v2e,a/ou etpg )xh14/ljf)ys correct?

  If you take a given pendulum to the Moon, where the acceleragu1ok8rfd m+z 8p/vq6 c*6n nstion of gravity is less than /pfn 6 * msk18dunzgo+cq86rv on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rdee 1)25gpw fm*t 8ibqepresents

  Curve B in Fig. 11-1 repres)w9xx 51m-zuf zhyb,d ents

  Curve C in Fig. 11-1 represents5n-4 nu/vy mle

  For a forced vibration, the amplitude of vibration is found to depe8x ) nncy /weq7ylh;khja1bq( y-r;a6nd on the

  In a wave, the maximum displacement of pointg ml2 ppn54a8w)w 9dnts of the wave from equilibrium is called the wa5p l84)ntwamp2w gd9 nve's

  The distance between succesi axzr2*,pcq 6sive crests on a wave is called the wave's

  The number of crests of a wave passing a pj g4o:(yidjdrn 9, /:/ufaxeu oint per unit time is called the wave'sgo y(,x4 rj:funjae:d /9u/ id

  For a wave, the frequency times the 6+ y1rg(oaxxk.huf m ;wavelength is the wave's

  The frequency of a wave increases. What has5dpbi** fry zeay o*qisv3y2 x/n0/; ppens to the distance between successive crests if the speed remains consta*/ebd;* / 5saf3pnsq v2* iyiryox0z ynt?

  A wave moves on a string with wavelengthhhb; e7 yqqti cc(e6b2,kas41 l and frequency f. A second wave on the same string has w s7iyehkqt2abh1,q 4;c6bc(eavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, 0mz t) 0bpchlijz tkzo181s;5and tension T. A standing wave 5;tbc kh0z8 i 1t0ozm1szjlp)is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The s ,ek6sd)za /rmzkz(r 0jjg3y:peed of a wave in the string is v. What will be the speed of a wave ie/jj:grz zz6a0)dkym k sr,3( n the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed of a w ,u)*k2qip8 fwzwhk m l2xfh6-ave in the string is v. What will be the speed of a h kfm*,6i- u2zfww)hqp8lk2 xwave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tera2-0- 8gnh3 e vtdrbgdns-l ;nsion T. The speed of a wave in the string is v. What will be the speed of a wave -h-0b 2na-dsglr etgvdr;3 8nin the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an 5mzr; nfo3d* qS wave travels through the Earth, the relative motion between th*r3ndzm qo 5;fe S wave and the particles is

  In seismology, the P wave is a longitudinal wave. velt6+rjd vbj+3q5gt- s-)ju As a P wave travels through th+bg5d3e vusrq v+j-j6) l-tj te Earth, the relative motion between the P wave and the particles is

  The intensity of a wave 8me/1kldpo4-9h0imvqus w +p is

  A wave pulse traveling to the right along a thin cord reaches a discontinuiadz11/z 4g/seydgi 4j ty where the rope becomes thicker and heavier. What is the orientation of the reflegjge/a/y zd1 d44z s1icted and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a b er:j+c8 .vdbtsio1 5string, one is traveling toward the rigeid:c+8obrb j t sv15.ht and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other 8nf(mc1fc 65k gsh v(ton a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At tc5 (vnm c8k htfsgf6(1he point that they occupy the same region of space at the same time

  Resonance in a system, such as aeb:wx* m2d.kzsk 6 i+e5kr0q z string fixed at both ends, occurs when

  If one doubles the tensicr7vkwnyz e9( p 3lz80on in a violin string, the fundamental frequency of that string will increa37pw0( zeny8 kcz9r vlse by a factor of

  What is the spring constant of a spring that stretches 257lu:imgtlihp hfdmb ,:q s 57r.wg 92.00 cm when a mass of 0.600 kg is suspebsh9 t,rlqp. wg:2:m lh imf77d5i5ug nded from it?

  A mass is attached to a spring of spring p5i tmrkg221aconstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What ismk1 ti2grpa25 the amplitude?

  A mass is attached to a spring of spring constant 60 N/m5zc a3bk+ n;sv along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go 3bks;c5nza v+back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along s -bgd28y hwt;a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mag;s d 28h-ytwbss 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes throughk zwzce)a 5+5u 10 complete oscillations in 5.)ecau5 5+z kwz0 s. What is the period?

  A mass vibrates back and forth from the free end of an i .d ).zqjsts2ndeal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibds)j q s2.n.tzrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring const:s65utqo;r sct e4n.j4o oq 2want 20 N/m along a horizontal, frictionless surface. The object oscillates in simpleqs.;jtr6:oqw4ooc n542e ust harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this enpb8k7.jj oh9ju49 o d+cqd9 time. The mass is cut in half, and the system is again set in motion wi98cjh 79jk.jp odoq+ ed9b4nuth amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m ah3 )fflwv3y)6ec , zjinmai/2long a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibn)/)i3cey 6lvz ,amf 2f 3iwhjrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attachedzkm gys21;k*f to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are thykgsm2f;*kz 1e kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant 5sj y,kw: h*hy,0 N/m and set into simple harmonic motion j*yhs, w :y,khwith an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizonf4iubee3 e/yxmjl2l9drs3g i-)a*- jjw 5e- i tal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system3ijj w re3xyi-5lb ife)e-u g-sj4al/*9dm 2e?

  A mass vibrates back and forth from the freefk+nst1np7 g7 end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic es77ngt kfp+ 1nnergy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium pos*3htcs2 1behf9c+r:ja3x x oeb ;5c wuition and released. A frequencyj t 95bwxae ro;2+ ehux fc*31bhccs3: of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The object i( krm- 0jdatl (co*hw- f2hb,ls displac,*ldmkt2l-(oj( c0abfw h- hr ed by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to tclb m6lox*7t b4ds) 8a spring of spring constant 10 N/m. The object is d mb ob7 s84*clt)t6ldxisplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a spring of spr03lllh5 bzj cl+ m)4nxing constant 18 N/m, displaced slightly from its equilibrium positiohl+)lc5 lxmzn0l3b j 4n, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequencnov2 g tbw7drn:z,. )6u dsrn8y of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained dg.)n s znnt bvod2,wu 68rr7:by the mass?

  Two masses, A and B, are attached to different springe; ocq)1 +6zcsp5eheb s. Mass A vibrates with amplitu;b+hc1z)op5 6ce ees qde of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretcho*hzi 1g t2u:nrx):qm es the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period x1 :m2ngzo:tuh)r*qiof oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibvx 1 crhk isk 4i(gdr// 285yiw3u,mqnrium the mass stretches the spring 2.0 cm downwi iihx8ng k1k4r (3s2/ qu cmydr,wv/5ard. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stre owig sv;rq3)c.k-vl:tches the spring 2.0 cm downward. The mass is then puc) l .:gworv 3v-;sqiklled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple hari) u -lgz,.r-0pgeix /y.i a,ir 8kguhmonic motion obeys the following position versus time equationxe ./ur, 8pa0gigr.iu k,)izlg hyi- -:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion x puu9; +y5hh9i6le swobeys the following position versus time equation:;hsywu+eu95 x9i 6plh
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the fe+yv hj29ge,g ,*cqnhqp6e y:ollowing position versus time equation: 2y h6 g: cje+9eqgvenqh,y*,p
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple har hw )f3hg4w(ra kf0y;ic3 bq;kmonic motion according to)g hbk ary;3icfw 40fqw ;(3hk the equation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached soq/v2+/bqxeh) neq 0to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. beq+o)ne 0h2 qqsv x//At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 complete swing;d5gmm4b:n wm s in 8.0 s. (a) What are its frequency and period on Ea; :m mn4g5bwmdrth?

  A 3.00-kg pendulum is 28.84 m long. What is eag-q9 6ufoa 8kwl7t5*2jawg its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its ltj .vhnx9 sjtf5qj0(/ength?

  The pendulum of a grandfather clock is 1.0 m long.pfnp4t*oc 4k -hjh )q0 What is its period on the Ear-fq *hc)4h0 knjo4ptpth?

  The pendulum of a grandfather clock i9nzf4 nn 1c01thblj6ts 1.0 m long. What is its period on the Moon where the accelerationjh9 bct 46l1fn0t 1nzn due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphegrd*i09rg-kx my/b- s rical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.5rb g/ 0 -ky-msd*xgir90-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial ang;(c tdyr r3mu..: wbymular displacement of 8.0e. It oscillates with a period of 3.00 mrrd(tw. b: u;3mycy.s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snapshot" of a wave at a given wt8:kdqn,ga 3/ambq+time. The frequency of the wavg:qb dq+3mtk ,/8 anawe is 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapil quvtw7a 05)shot" of a wave at a given time. The frequency of the wave is 120 Hz. Wu l7)v0tw5a iqhat is the wavelength?

  Figure 11-2 is a "snapshot" of a s1g0sxvo6 i cn5cy.v3 wave at a given time. The frequency of the wave is 120 Hz. What.g50 x sc3 is16vynvoc is the wave speed?

  What is the frequency of a wave which has a iu 0 *ba hpwejq1 2qpy.q7-0e fjthx5.v nr/r7period of 6.00 ms?

  What is the period of a wave with ab9xymrycg6 iq( 8*c+p frequency of 1500 Hz?

  What is the wave speed if a wave has a freql92)z4bwk fk4c:ckgcr b 3*duuency of 12 Hz and a wavelength of 3.0r4 f bkw4 9)2czu*kcdkb3 :glc m?

  What is the velocity of a wave that has a wp ti4leb8 7mx,avelength of 3.0 m and a frequency ofi ,7lpem4t8bx 12 Hz?

  What is the frequency of a 2.5 m wave traveling djsev:3h1:azz3z85 w gb8 pzkat 1400 m/s?

  A piano string of linear mass densitu u y8q,n 57mcu+t3mfqzn57yjy 0.0050 kg/m is under a tension of 1350 N. What is the wyq 7tmz7n n ju5u fy+3cq8,um5ave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the velcq z1ol:2f8fmyp j/ f6ocity of propagation of transverse waveso8m:l6 jyc12f /fq fzp along the string?

A wave whose wavelength ivz9ic 8qn5oe5s 0.500 m is traveling down a 500 m long wire whose totaci9qez v5no 85l mass is
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of yft712 kyvk+cqw2fp(o4,ywb a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the follo2p(w7 yvkfywyo+ k21bcqt4f,wing is not a resonant frequency of this string?

  If a guitar string has a fundamsx6gjh stw: -+bdv:u / 1vho jaaq/;w5ental frequency of 500 Hz, which one of the following frequeh:v16/thaqx dw:-jbws/a+v g jou5s; ncies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a stak 7 .we, oqm,b)bperc nhx268anding wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave wk6pe 7.hmb r 8,eao qwb)x,cn2ith five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a dh0f*wyzomg*.7pg0xje+ evt /wg;fsxo,d7- standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to containje7ogm 7 gz00x ;.fwd-pdgy/xtfe*v,s*woh + 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should its gho 7 v(s-pk5ilength be if its fundamental resonaigs( 5-7h pkvonce frequency is 220 Hz?

  Find the first three harmonics of a str1p9 6eicnbmn/ ing of linear mass density 2.00 g/m and length 0.600ibp/e m 1cn6n9 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends.d,e tkm*kqahp z r0y+:850 ddz When the string vibrates at a frequency of 85 Hz, a stahkd*payqzdk5t ,0+m:e 0rd z8nding wave with five loops is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.